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Finding the Fourth Proportional to 306.34, 459.37 and 89.93

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Solution

The fourth proportional to 306.34, 459.37 and 89.93 is: 134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.34 : 459.37 = 89.93 : x
  2. Step 2: Convert to fraction form
    306.34/459.37 = 89.93/x
  3. Step 3: Cross multiply
    306.34x = 459.37 × 89.93
  4. Step 4: Simplify right side
    306.34x = 41,310.69
  5. Step 5: Solve for x
    x = 41,310.69/306.34
  6. Step 6: Final answer
    x = 134.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.